0.6(x+7)+1.6(x-6)=

Solution for 0.6(x+7)+1.6(x-6)= equation:

Simplifying
0.6(x + 7) + 1.6(x + -6) = 0

Reorder the terms:
0.6(7 + x) + 1.6(x + -6) = 0
(7 * 0.6 + x * 0.6) + 1.6(x + -6) = 0
(4.2 + 0.6x) + 1.6(x + -6) = 0

Reorder the terms:
4.2 + 0.6x + 1.6(-6 + x) = 0
4.2 + 0.6x + (-6 * 1.6 + x * 1.6) = 0
4.2 + 0.6x + (-9.6 + 1.6x) = 0

Reorder the terms:
4.2 + -9.6 + 0.6x + 1.6x = 0

Combine like terms: 4.2 + -9.6 = -5.4
-5.4 + 0.6x + 1.6x = 0

Combine like terms: 0.6x + 1.6x = 2.2x
-5.4 + 2.2x = 0

Solving
-5.4 + 2.2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 2.2x = 0 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 2.2x = 0 + 5.4
2.2x = 0 + 5.4

Combine like terms: 0 + 5.4 = 5.4
2.2x = 5.4

Divide each side by '2.2'.
x = 2.454545455

Simplifying
x = 2.454545455